What is the equation of the line that goes through the point (6,-4) and has a slope of 5

Answer 1

(6,-4) m=5= slope

y=mx +b where b = y intercept

y=5x + b plug in x=6, y=-4 to solve for b

-4 =5(6) + b

b =-4 -30 =-34

y=5x -34 is the line with slope 5 and through the point (6,-4)

Answer 2

y=mx+b; m=slope. Plug 5 in for your slope, so you'll have y=5x+b. Now, let's use your coordinate to figure out b. In (6, -4), 6 is x and -4 is y. Plug in those numbers into the equation. So you should have -4=5(6)+b. Now, let's do the math. 5 x 6 = 30. Subtract 30 from both sides to get b by itself. -4-30= -34. So, your answer is y=5x-34.